Nunnari is an Italian surname. Notable people with the surname include:
Gianni Nunnari (born 1959), Italian film and television producer and executive Jodi Nunnari, American cell biologist and pioneer in the field of mitochondrial biology Paul Nunnari (born 1973), Australian Paralympic athlete Salvatore Nunnari (born 1939), Italian archbishop Talmadge Nunnari (born 1975), American baseball player